Conducting a Survey on Men Who Practice Yoga
What is one of the goals of the survey involving 900 men who practice yoga?
The survey aims to create a confidence interval to estimate the proportion of all men practicing yoga who report low stress levels.
What is the anticipated effect on the width of the confidence interval if the survey is conducted on 100 men instead of 900 men?
A) The width of the interval based on 100 men would be about nine times the width of the interval based on 900 men. B) The width of the interval based on 100 men would be about three times the width of the interval based on 900 men. C) The width of the interval based on 100 men would be about the same width as the interval based on 900 men. D) The width of the interval based on 100 men would be about one-third the width of the interval based on 900 men. E) The width of the interval based on 100 men would be about one-ninth the width of the interval based on 900 men.
Answer:
B) The width of the interval based on 100 men would be about three times the width of the interval based on 900 men.
Based on the information given, if there's no change in the sample proportion, the width of the confidence interval is expected to be about three times wider when surveying 100 men compared to surveying 900 men. This is because a larger sample size generally leads to a narrower confidence interval, providing a more precise estimate of the population parameter.
Therefore, in this scenario, surveying 900 men would result in a narrower confidence interval compared to surveying 100 men, making the former a more reliable method for estimating the proportion of men practicing yoga who report low stress levels.